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Finding the Fourth Proportional to 77.52, 115.68 and 75.60

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Solution

The fourth proportional to 77.52, 115.68 and 75.60 is: 112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.52 : 115.68 = 75.60 : x
  2. Step 2: Convert to fraction form
    77.52/115.68 = 75.60/x
  3. Step 3: Cross multiply
    77.52x = 115.68 × 75.60
  4. Step 4: Simplify right side
    77.52x = 8,745.41
  5. Step 5: Solve for x
    x = 8,745.41/77.52
  6. Step 6: Final answer
    x = 112.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.